# Question

The file S04_34.xlsx shows the conditional distribution of the daily number of accidents at a given intersection during the winter months, X2, given the amount of snowfall (in inches) for the day, X1. The marginal distribution of X1 is provided in the bottom row of the table.

a. Are X1 and X2 independent random variables? Explain why or why not.

b. What is the probability of no accidents at this intersection on a winter day with no snowfall?

c. What is the probability of no accidents at this intersection on a randomly selected winter day?

d. What is the probability of at least two accidents at this intersection on a randomly selected winter day on which the snowfall is at least three inches?

e. What is the probability of less than four inches of snowfall on a randomly selected day?

a. Are X1 and X2 independent random variables? Explain why or why not.

b. What is the probability of no accidents at this intersection on a winter day with no snowfall?

c. What is the probability of no accidents at this intersection on a randomly selected winter day?

d. What is the probability of at least two accidents at this intersection on a randomly selected winter day on which the snowfall is at least three inches?

e. What is the probability of less than four inches of snowfall on a randomly selected day?

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